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    Question

    A kite is in the shape of a square with a diagonal 24cm,

    attached to an equilateral triangle of the base 6cm. How much paper has been used to make it?
    A 288 cm² Correct Answer Incorrect Answer
    B 317 cm² Correct Answer Incorrect Answer
    C 9(32 +√3)cm² Correct Answer Incorrect Answer
    D 9(21 +√3)cm² Correct Answer Incorrect Answer

    Solution

    Area of the square = 1/2 × (Diagonal)^2 = 1/2 ×(24)^2 = 1/2 × 24 × 24 = 288 cm² Area of equilateral triangle = √3/4 × (side)^2 = √3/4 × 6 × 6 = 9√3 cm² Total area = 288 + 9√3 = 9(32 +√3)cm²

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